This produces the normal component CVE current \({J}_{5} \propto {\Omega }\)  from the CVE [1]}, via the Greens function identity [2]}, [3]}

Gvn(x,x',k0) = e-i233 k0Gvn=0(x,x',k0)

where \(k_0\)  is the frequency, \(\Sigma _3\)  the spin-1/2 rotation matrix along \(\hat{{l}}\)  and we have specialized to \({\Omega } = \Omega _3 \hat{{l}}\) , so that the system is effectively relativistic to linear order in \({k}\) .
